JEE Main 2015MathematicsIndefinite IntegrationMediumMCQ

JEE Main 2015 — Indefinite Integration Question with Solution

JEE Main 2015 (04 Apr)

Question

The integral ∫dxx2x4+134 equals to

Choose an option

Show full solutionCorrect option: A
Correct answer
A-x4+1x414+c

Step-by-step explanation

I=∫dxx2x4+134

  =∫dxx51+1x434

Put,   1+1x4=t⇒-4x5dx=dt

∴    I=14∫-dtt34

= - 1 4 × ∫ t - 3 4 dt =-14t1414+c

=-1+1x414+c, where c is the constant of integration.

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About this question

This is a previous-year question from JEE Main 2015, covering the Indefinite Integration chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.